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3 years ago

Which of the following is a dilation?

1 answer:

3 0

It’s the second option, (x,y) —> (3x,3y) since you have to multiply each coordinate by a certain number called the scale factor (in this case, it’s 3)

The first option won’t work because the scale factor has to be same for both coordinates. The third option is a translation, and the fourth won’t work either because you have to multiply each coordinate by the same variable.

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Como resolver logaritmos avanzados

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3 years ago

4 is what percent of 75?

arsen [322]

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3 years ago

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Ymorist [56]

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Step-by-step explanation:

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3 years ago

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Check whether the function yequalsStartFraction cosine 2 x Over x EndFraction is a solution of x y prime plus yequalsnegative 2

Jobisdone [24]

The question is:

Check whether the function:

y = [cos(2x)]/x

is a solution of

xy' + y = -2sin(2x)

with the initial condition y(π/4) = 0

Answer:

To check if the function y = [cos(2x)]/x is a solution of the differential equation xy' + y = -2sin(2x), we need to substitute the value of y and the value of the derivative of y on the left hand side of the differential equation and see if we obtain the right hand side of the equation.

Let us do that.

y = [cos(2x)]/x

y' = (-1/x²) [cos(2x)] - (2/x) [sin(2x)]

Now,

xy' + y = x{(-1/x²) [cos(2x)] - (2/x) [sin(2x)]} + ([cos(2x)]/x

= (-1/x)cos(2x) - 2sin(2x) + (1/x)cos(2x)

= -2sin(2x)

Which is the right hand side of the differential equation.

Hence, y is a solution to the differential equation.

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4 years ago

Draw Three triangles One equilateral one isosceles and one scalene label Each and explain how you classified each triangle

Fantom [35]

Here is a picture of each.

Here are the definitions of each:
1. Equilateral- this triangle has side lengths that are all the same (congruent).
2. Isosceles-this triangle has exactly 2 sides that are the same length(congruent).
3. Scalene- this triangle has no sides that are the same length.

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3 years ago